Search a number
-
+
3690385050 = 23521121271601
BaseRepresentation
bin1101101111110110…
…1100111010011010
3100112012002222120210
43123331230322122
530024214310200
61410105431550
7160310520042
oct33375547232
910465088523
103690385050
111624142a00
1286ba9b5b6
1346a7383c1
1427019a722
15168eb7650
hexdbf6ce9a

3690385050 has 144 divisors (see below), whose sum is σ = 10145350656. Its totient is φ = 887040000.

The previous prime is 3690385033. The next prime is 3690385073. The reversal of 3690385050 is 505830963.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2304250 + ... + 2305850.

It is an arithmetic number, because the mean of its divisors is an integer number (70453824).

Almost surely, 23690385050 is an apocalyptic number.

3690385050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690385050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072675328).

3690385050 is an abundant number, since it is smaller than the sum of its proper divisors (6454965606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3690385050 is a wasteful number, since it uses less digits than its factorization.

3690385050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 3690385050 is about 60748.5394886165. The cubic root of 3690385050 is about 1545.3394589302.

The spelling of 3690385050 in words is "three billion, six hundred ninety million, three hundred eighty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 127 150 165 242 254 275 330 363 381 550 605 635 726 762 825 1210 1270 1397 1601 1650 1815 1905 2794 3025 3175 3202 3630 3810 4191 4803 6050 6350 6985 8005 8382 9075 9525 9606 13970 15367 16010 17611 18150 19050 20955 24015 30734 34925 35222 40025 41910 46101 48030 52833 69850 76835 80050 88055 92202 104775 105666 120075 153670 176110 193721 203327 209550 230505 240150 264165 384175 387442 406654 440275 461010 528330 581163 609981 768350 880550 968605 1016635 1152525 1162326 1219962 1320825 1937210 2033270 2236597 2305050 2641650 2905815 3049905 4473194 4843025 5083175 5811630 6099810 6709791 9686050 10166350 11182985 13419582 14529075 15249525 22365970 24602567 29058150 30499050 33548955 49205134 55914925 67097910 73807701 111829850 123012835 147615402 167744775 246025670 335489550 369038505 615064175 738077010 1230128350 1845192525 3690385050